Which values from the set {−6, −4, −2, 0, 2, 4, 6} satisfy this inequality?
3 + 1
2 x ≥ 4
Responses
A –6, –4, –2 and 0 only–6, –4, –2 and 0 only
B 0, 2 and 4 only0, 2 and 4 only
C 2, 4 and 6 only2, 4 and 6 only
D –4, –2 and 0 only
To find the values that satisfy the inequality, we need to solve the inequality:
3 + 1
2x ≥ 4
Simplifying, we get:
4
2x ≥ 4
Multiplying both sides by 2, we get:
2x ≥ 8
Dividing both sides by 2, we get:
x ≥ 4
So, the values that satisfy the inequality are 4, 6, and 6.
Therefore, the correct answer is:
C) 2, 4 and 6 only
To find the values that satisfy the given inequality, we need to solve the inequality.
The inequality is:
3 + 1/2x ≥ 4
Subtracting 3 from both sides, we get:
1/2x ≥ 1
To isolate x, we multiply both sides by 2:
x ≥ 2
Now we can check which numbers from the given set {−6, −4, −2, 0, 2, 4, 6} satisfy the inequality x ≥ 2.
The values that satisfy the inequality are: 2, 4, and 6.
Therefore, the correct answer is C: 2, 4, and 6 only.
To solve the inequality 3 + 1/2x ≥ 4, we need to isolate the variable x.
Step 1: Subtract 3 from both sides of the inequality to move the constant term to the right side of the equation:
3 + 1/2x - 3 ≥ 4 - 3
1/2x ≥ 1
Step 2: To eliminate the fraction, multiply both sides of the inequality by 2:
2 * 1/2x ≥ 1 * 2
x ≥ 2
Now we have the inequality x ≥ 2, which means x is greater than or equal to 2.
Looking at the given set {−6, −4, −2, 0, 2, 4, 6}, we can see that the values that satisfy the inequality x ≥ 2 are 2, 4, and 6.
Therefore, the correct answer is option C: 2, 4, and 6 only.